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RoseWind [281]
2 years ago
12

Sam the scout is going on a camp out with his boy-scout troop. There are large tents that sleep 6 boys and small tents that slee

p 4 boys. The ratio of large tents to small tents is 8 to 5. There are exactly enough tents to sleep 816 boys. How many tents of each size are there?
Mathematics
1 answer:
natita [175]2 years ago
5 0

Answer:

There are 96 large tents and 60 small tents

Step-by-step explanation:

Here, we want to calculate the number of tents of each sizes there

Let the number of 6-boys tent be s and the number of 4-boys tent be f

6s + 4f = 816 ••••••(i)

Ratio of large to small ( ratio of s to f)

8:5 = s/f

8/5 = s/f

8f = 5s

f = 5s/8 ••••(ii)

Substitute ii into i

6s + 4(5s/8) = 816

6s + 5s/2 = 816

Multiply through by 2

12s + 5s = 1,632

17s = 1632

s = 1632/17

s = 96

f = 5s/8

f = (5 * 96)/8 = 60

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Gre4nikov [31]

Answer:

$25

Step-by-step explanation:

Multiply $20 by 0.25 (which is 25% as a decimal)

$20 x 0.25 = $5

Add $5 to $20 which makes the answer $25

3 0
3 years ago
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Help!!!! me please the first to answer will get brainliest!!!! please help me<br><br><br>​
never [62]
<h3>1 Answer: v = -130</h3>

=============================================================

Explanation:

Because we're given multiple choices to pick from, we can go through each to do trial and error.

For instance, if v = 52, then

v/13 < -7

52/13 < -7

4 < -7

but that's a false statement since 4 is not smaller than -7. Use a number line to see this. You should have -7 to the left of 4, showing that -7 is the smaller value.

Because 4 < -7 is false, this means v/13 < -7 is false when v = 52. This rules out v = 52. You should find that v = 26 and v = -39 won't work for similar reasons.

Only v = -130 works since...

v/13 < -7

-130/13 < -7

-10 < -7

This is true because -10 is to the left of -7 on the number line.

-------------------------------------------------

Another approach:

We have some unknown number v, and we're dividing by 13 to get the expression v/13. To undo this, we multiply both sides by 13

v/13 < -7

13*(v/13) < 13*(-7) .... multiply both sides by 13

v < -91

So any solution to the original inequality must be smaller than -91. This allows us to rule out v = 52, v = 26 and v = -39.

The value v = -130 is smaller than -91, so it satisfies v < -91. Therefore, v = -130 is a solution to the original inequality.

6 0
3 years ago
(-3+x) divided by 2= negative one half
Arlecino [84]

Answer:

are u trying to find x?

Step-by-step explanation:

7 0
3 years ago
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No links
ludmilkaskok [199]

Answer:

2/5

Step-by-step explanation:

There's 5 jellybeans in the bag total and of the five, 2 of them are red, so the probability that Cynthia gives him 2 reds is 2/5.

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3 years ago
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OC and OR are similar. Find the length of QP.
Elena L [17]

Given:

Circle C and circle R are similar.

The length of arc AB is s = \frac{22 \pi}{9}

The radius of circle C (AC) = 4 unit

The radius of circle R (QR) =6 unit

To find the length of arc QP.

Formula

The relation between s,  r and \theta is

arclength = 2\pi r \frac{\theta}{360}

where,

s be the length of the arc

r be the radius

\theta be the angle.

Now,

For circle C

Taking r = 4

According to the problem,

2 \pi r \frac{\theta}{360} = \frac{22 \pi}{9}

or, 2r \frac{\theta}{360} = \frac{22}{9} [ eliminating \theta from both side]

or, \theta = \frac{(22)(360)}{(9)(2)(4)}

or, \theta = 110^\circ

Again,

For circle R

Taking, r = 6 and \theta = 110^\circ we get,

The length of arc QP is

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or, arclength = \frac{11 \pi}{3}

Hence,

The length of QP is \frac{11 \pi}{3}. Option C.

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3 years ago
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